Please indulge me with your patience.
Mass is a property of some matter but it "measures" nothing concerning that matter? So mass isn't a measurement of matter?
I got confused concerning this since every equation for calculating the qualities of matter involving mass involves calculations of quantities of other things.
Here again I got confused since we are talking about systems involving mass and even quarks have been determined to have mass.
Its my understanding that anything with mass must have volume. Is this not correct?
I'm sorry, again I got confused apparently. Dr. Strassler has said... "if I put a particle and an anti-particle together, almost all their properties cancel...Mass isn’t “conserved”; we’ll see in a minute that mass can appear or disappear, which is really good for particle physics.
The only thing that is definitely going to stick around is energy. Energy is conserved: however much you start with, you will end with the same amount."
This is what I meant. The mass has been converted. Is this incorrect?
I got curious about my misinterpretation so I did a search to see what others thought about radiation....
"
Radiation is energy that comes from a source and travels through space and may be able to penetrate various materials."
The Health Physics Society
"
Radiation is energy that comes from a source and travels through space at the speed of light."
The Centers for Disease Control and Prevention
"
Radiation can be described as energy or particles from a source that travel through space or other mediums. "
Australian Nuclear Science and Technology Organization
"
Radiation is energy given off by matter in the form of rays or high-speed particles."
Nuclear Regulatory Commission
"
Radiation is a specific type of heat transfer. Let’s review some things about heat transfer. In physics,
we define heat as a form of energy that is transferred among different substances.
Duke University
"
Radiation is a form of energy that is emitted in the form of rays, electromagnetic waves, and/or particles."
NASA
"
radiation is a way in which energy moves from one place to another.
UCLA
So, when I said "aspect -a particular status or phase in which something appears or may be regarded - of energy" surely you can see why I became confused.
Again, sorry. I didn't clarify -matter having mass. I guess I assumed that since we are discussing Einstein's equation you would have picked up on that fact.
I can see why we treat them as properties to make some sort of sense of reality but I'll try and show further down why I think we can reduce energy -what we define as whatever can produce work - to a property of itself so that you can show we where I've misunderstood a fundamental principle.
I Appreciate the link. I like Dr. Strassler's style of teaching.
I don't think I've made this claim. I would class mass and energy together. I consider matter to be a catch all term. A set if you will containing elements of physically interactive reality.
We are dealing with matter that has mass specifically and energy generally. This is our context.
The language used is tricky for sure.
I don't think in his article we've been given a good definition of what energy actually is in the sense of what the term is describing. How is a property conserved and transferred if it isn't something? We've been given a description of what work has been done or is capable of being done but not a description of what is actually doing the work or how.
If energy isn't stuff then what is the stuff at the singularity of the Big Bang considered to be?
Its my understanding that there are 4 fundamental properties describing elementary particles. They are mass, energy, charge, and spin. Three if we equate mass with energy. These are the things giving identity to the particles.
We can eliminate charge and mass by setting them to zero. In the case of mass the conversion is to energy. Leaving energy and spin(angular momentum). So what is left which has angular momentum? An idea? An equation?
Seems to be the current consensus. This just adds another layer of questions though.
I would point out though that the question is far from settled, including exactly what a field is. There are articles in the American Journal of Physics which seem diametrically apposed to each other. One says everything is fields
There are no particles, there are only fields. One says there are no fields or particles
THERE ARE NO PARTICLES, AND THERE ARE NO FIELDS and one says quantum fields aren't really fields
Quantum fields are not fields; comment on “There are no particles, there are only fields,” by Art Hobson [Am. J. Phys. 81(3), 211–223 (2013)]
Also apparently energy is considered a physical quantity and an electromagnetic field is basically an energy field is it not, the frequency and wavelength a determinant of the measured energy content at the measured point in the field since there is no other way of describing said field?
Now for how I became confused...
From
E=mc^2 for the "rest mass" of an object.
From Dr. Strasslers work....as I read it.
(Equation 1)
E^2=(pc)^2+(mc^2)^2 a Pythagorean relation derived by Einstein.
and Velocity divided by the speed of light = (pc)/E. (equation #2)
This gives us the "speed limit" of the universe equal to lightspeed, the sine of pc over E.
And finally with the momentum set to zero (no momentum) we get back to E=mc^2.
Pretty straight forward.
From these we can see, as Dr. Strassler has pointed that in setting momentum to zero we make the energy = to the rest mass of the particle which is equal to density multiplied by its volume. I get volume in space/time but what are we talking about that has density within that volume if we eliminate the other properties except energy?
For example we can set momentum to zero giving us an equality between one property and another - mass and energy. Or we can set mass to zero giving us E=pc. Now if we can equate properties then how do we distinguish them? We just as well say we have one property manifested in two different ways.
Mass becomes energy or momentum becomes energy or vice versa but in either case we always retain only the property of energy in the case we are examining here.
I suppose one might also consider what it means to transfer a property from one thing to another without changing the fundamental identity of the transferor which is confusing.